Results 51 to 60 of about 76,662 (251)

H-type foliations

open access: yesDifferential Geometry and its Applications, 2022
With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, 3K contact manifolds and H-type groups.
Baudoin, Fabrice   +3 more
openaire   +4 more sources

Foliation groupoids and their cyclic homology [PDF]

open access: yes, 2000
In this paper we study the Lie groupoids which appear in foliation theory. A foliation groupoid is a Lie groupoid which integrates a foliation, or, equivalently, whose anchor map is injective.
Crainic, M., Moerdijk, I.
core   +4 more sources

Dicritical logarithmic foliations [PDF]

open access: yesPublicacions Matemàtiques, 2006
We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.
Cano, F., Corral, N.
openaire   +4 more sources

Finding First Foliation Tangencies in the Lorenz System

open access: yesSIAM Journal on Applied Dynamical Systems, 2017
Classical studies of chaos in the well-known Lorenz system are based on reduction to the one-dimensional Lorenz map, which captures the full behavior of the dynamics of the chaotic Lorenz attractor.
Jennifer L. Creaser   +2 more
semanticscholar   +1 more source

Hypersurface foliation approach to renormalization of ADM formulation of gravity [PDF]

open access: yes, 2014
We carry out ADM splitting in the Lagrangian formulation and establish a procedure in which (almost) all of the unphysical components of the metric are removed by using the 4D diffeomorphism and the measure-zero 3D symmetry.
I. Park
semanticscholar   +1 more source

Foliation cones

open access: yesGeometry & Topology Monographs, 1999
52 pages.
Cantwell, John, Conlon, Lawrence
openaire   +2 more sources

Poincaré duality of the basic intersection cohomology of a Killing foliation [PDF]

open access: yes, 2014
We prove that the basic intersection cohomology $${\mathbb H}^{^{*}}_{_{\overline{p}}}{\left( M / \mathcal {F} \right) }$$Hp¯∗M/F, where $$\mathcal F$$F is the singular foliation determined by an isometric action of a Lie group G on a compact manifold M,
M. Saralegi-Aranguren, R. Wolak
semanticscholar   +1 more source

Foliated g-structures and riemannian foliations [PDF]

open access: yesManuscripta Mathematica, 1990
Abstract Using the properties of the commuting sheaf of aG-foliation of finite type we prove that some of theseG-foliations must be Riemannian.
openaire   +1 more source

Characteristic foliation on a hypersurface of general type in a projective symplectic manifold

open access: yes, 2008
Given a projective symplectic manifold $M$ and a non-singular hypersurface $X \subset M$, the symplectic form of $M$ induces a foliation of rank 1 on $X$, called the characteristic foliation.
Hwang, Jun-Muk, Viehweg, Eckart
core   +1 more source

Commuting foliations

open access: yesRegular and Chaotic Dynamics, 2013
New version, with a completely new section which clarifies the relationship between singular foliations and Nambu structures.
Zung, Nguyen Tien, Minh, Truong Hong
openaire   +3 more sources

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